In a shop, the prices of pastries are listed as follow:

Pastry Prices
Croissant	$1
Muffin	$3
Tart	$4

The ratio of the number of croissants sold to the number of muffins sold was 3 : 2. The ratio of the number of tarts sold to the number of muffins sold was 4 : 3. The shop collected $12 more on the sales of tarts than the sales of croissants.

1. How many croissants were sold?
2. How much did the shop collect from the sales of the pastries?

Croissants	Muffins	Tarts
3x2	2x2
	4x1	3x1
6 u	4 u	3 u

	Croissants	Muffins	Tarts
Number	6 u	4 u	3 u
Value	1	3	4
Total value	6 u	12 u	12 u

(a)
The number of muffins sold is repeated.  Make the number of muffins the same.  LCM of 2 and 4 is 4.

Amount that the shop collected more from the sales of the tarts than the croissants
= 12 u - 6 u
= 6 u

6 u = 12

1 u = 12 ÷ 6 = 2

Number of croissants that the cafe sold
= 6 u
= 6 x 2
= 12

(b)
Amount that the shop collected from the sales of the pastries
= 6 u + 12 u + 12 u
= 30 u
= 30 x 2
= $60

Answer(s): (a) 12; (b) $60